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4234340502 = 2337191223263
BaseRepresentation
bin1111110001100010…
…1110100010010110
3101221002122210012000
43330120232202112
532132442344002
61540100340130
7206634205020
oct37430564226
911832583160
104234340502
1118831a1767
129a20a4646
13526340532
142c2515010
1519bb1461c
hexfc62e896

4234340502 has 128 divisors (see below), whose sum is σ = 10899947520. Its totient is φ = 1193525280.

The previous prime is 4234340491. The next prime is 4234340519. The reversal of 4234340502 is 2050434324.

It is a super-2 number, since 2×42343405022 = 35859278973755224008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16100023 + ... + 16100285.

It is an arithmetic number, because the mean of its divisors is an integer number (85155840).

Almost surely, 24234340502 is an apocalyptic number.

4234340502 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234340502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449973760).

4234340502 is an abundant number, since it is smaller than the sum of its proper divisors (6665607018).

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

4234340502 is a wasteful number, since it uses less digits than its factorization.

4234340502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4234340502 is about 65071.8103482606. The cubic root of 4234340502 is about 1617.8140132030.

Adding to 4234340502 its reverse (2050434324), we get a palindrome (6284774826).

The spelling of 4234340502 in words is "four billion, two hundred thirty-four million, three hundred forty thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 191 223 263 378 382 446 526 573 669 789 1146 1337 1338 1561 1578 1719 1841 2007 2367 2674 3122 3438 3682 4011 4014 4683 4734 5157 5523 6021 7101 8022 9366 10314 11046 12033 12042 14049 14202 16569 24066 28098 33138 36099 42147 42593 49707 50233 58649 72198 84294 85186 99414 100466 117298 127779 150699 175947 255558 298151 301398 351631 351894 383337 410543 452097 527841 596302 703262 766674 821086 894453 904194 1054893 1055682 1150011 1231629 1356291 1583523 1788906 2109786 2300022 2463258 2683359 2712582 3164679 3167046 3694887 5366718 6329358 7389774 8050077 9494037 11084661 11201959 16100154 18988074 22169322 22403918 33605877 67211754 78413713 100817631 156827426 201635262 235241139 302452893 470482278 604905786 705723417 1411446834 2117170251 4234340502