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3422342040 = 2335132395383
BaseRepresentation
bin1100101111111100…
…1100101110011000
322211111201222200220
43023333030232120
524002104421130
61323332400040
7150544266405
oct31377145630
98744658626
103422342040
1114a6906257
127b6176020
13427049280
142467452ac
151506bc410
hexcbfccb98

3422342040 has 128 divisors (see below), whose sum is σ = 11537648640. Its totient is φ = 805787136.

The previous prime is 3422341943. The next prime is 3422342051. The reversal of 3422342040 is 402432243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3422342040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11812 + ... + 83571.

It is an arithmetic number, because the mean of its divisors is an integer number (90137880).

Almost surely, 23422342040 is an apocalyptic number.

3422342040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768824320).

3422342040 is an abundant number, since it is smaller than the sum of its proper divisors (8115306600).

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

3422342040 is a wasteful number, since it uses less digits than its factorization.

3422342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95433 (or 95429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3422342040 is about 58500.7866613775. The cubic root of 3422342040 is about 1506.9810946959.

Adding to 3422342040 its reverse (402432243), we get a palindrome (3824774283).

The spelling of 3422342040 in words is "three billion, four hundred twenty-two million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 95383 190766 286149 381532 476915 572298 763064 953830 1144596 1239979 1430745 1907660 2193809 2289192 2479958 2861490 3719937 3815320 4387618 4959916 5722980 6199895 6581427 7439874 8775236 9919832 10969045 11445960 12399790 13162854 14879748 17550472 18599685 21938090 24799580 26325708 28519517 29759496 32907135 37199370 43876180 49599160 52651416 57039034 65814270 74398740 85558551 87752360 114078068 131628540 142597585 148797480 171117102 228156136 263257080 285195170 342234204 427792755 570390340 684468408 855585510 1140780680 1711171020 3422342040