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3234420440334 = 233179759361253
BaseRepresentation
bin101111000100010010011…
…110110011110100001110
3102110012121022200111111000
4233010102132303310032
5410443043113042314
610513512223041130
7452451645060066
oct57042236636416
912405538614430
103234420440334
11103778a021186
12442a28a401a6
131a6009c82b25
14b279253c3a6
1559204917209
hex2f1127b3d0e

3234420440334 has 128 divisors (see below), whose sum is σ = 7701950551680. Its totient is φ = 1002549215232.

The previous prime is 3234420440297. The next prime is 3234420440399. The reversal of 3234420440334 is 4330440244323.

3234420440334 is a `hidden beast` number, since 3 + 2 + 3 + 44 + 204 + 403 + 3 + 4 = 666.

It is a super-2 number, since 2×32344204403342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52773652 + ... + 52834904.

It is an arithmetic number, because the mean of its divisors is an integer number (60171488685).

Almost surely, 23234420440334 is an apocalyptic number.

3234420440334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234420440334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850975275840).

3234420440334 is an abundant number, since it is smaller than the sum of its proper divisors (4467530111346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3234420440334 is a wasteful number, since it uses less digits than its factorization.

3234420440334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61971 (or 61965 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3234420440334 its reverse (4330440244323), we get a palindrome (7564860684657).

The spelling of 3234420440334 in words is "three trillion, two hundred thirty-four billion, four hundred twenty million, four hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 97 102 153 194 291 306 459 582 593 873 918 1186 1649 1746 1779 2619 3298 3558 4947 5238 5337 9894 10081 10674 14841 16011 20162 29682 30243 32022 44523 57521 60486 61253 89046 90729 115042 122506 172563 181458 183759 272187 345126 367518 517689 544374 551277 977857 1035378 1041301 1102554 1553067 1653831 1955714 2082602 2933571 3106134 3123903 3307662 5867142 5941541 6247806 8800713 9371709 11883082 17601426 17824623 18743418 26402139 28115127 35649246 36323029 52804278 53473869 56230254 72646058 101006197 106947738 108969087 160421607 202012394 217938174 303018591 320843214 326907261 606037182 617491493 653814522 909055773 980721783 1234982986 1818111546 1852474479 1961443566 2727167319 3523333813 3704948958 5454334638 5557423437 7046667626 10570001439 11114846874 16672270311 21140002878 31710004317 33344540622 59896674821 63420008634 95130012951 119793349642 179690024463 190260025902 359380048926 539070073389 1078140146778 1617210220167 3234420440334