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342406426644 = 2232192233795923
BaseRepresentation
bin1001111101110010000…
…00110111000000010100
31012201210220002201000100
410332321000313000110
521102222021123034
6421144354014100
733511102414302
oct4767100670024
91181726081010
10342406426644
11122239557297
125643b277330
132639a60a059
1412803163272
158d9058b099
hex4fb9037014

342406426644 has 144 divisors (see below), whose sum is σ = 917736601600. Its totient is φ = 107341319232.

The previous prime is 342406426601. The next prime is 342406426673. The reversal of 342406426644 is 446624604243.

342406426644 is a `hidden beast` number, since 342 + 4 + 0 + 6 + 4 + 266 + 44 = 666.

It is a super-2 number, since 2×3424064266442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342406426644.

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 47 ways as a sum of consecutive naturals, for example, 57806667 + ... + 57812589.

Almost surely, 2342406426644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342406426644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458868300800).

342406426644 is an abundant number, since it is smaller than the sum of its proper divisors (575330174956).

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

342406426644 is a wasteful number, since it uses less digits than its factorization.

342406426644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 342406426644 in words is "three hundred forty-two billion, four hundred six million, four hundred twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 223 228 342 379 446 669 684 758 892 1137 1338 1516 2007 2274 2676 3411 4014 4237 4548 5923 6822 7201 8028 8474 11846 12711 13644 14402 16948 17769 21603 23692 25422 28804 35538 38133 43206 50844 53307 64809 71076 76266 84517 86412 106614 112537 129618 152532 169034 213228 225074 253551 259236 337611 338068 450148 507102 675222 760653 1012833 1014204 1320829 1350444 1521306 1605823 2025666 2244817 2641658 3042612 3211646 3962487 4051332 4489634 4817469 5283316 6423292 6734451 7924974 8979268 9634938 11887461 13468902 14452407 15849948 19269876 20203353 23774922 25095751 26937804 28904814 40406706 42651523 47549844 50191502 57809628 75287253 80813412 85303046 100383004 127954569 150574506 170606092 225861759 255909138 301149012 383863707 451723518 500594191 511818276 767727414 903447036 1001188382 1501782573 1535454828 2002376764 3003565146 4505347719 6007130292 9010695438 9511289629 18021390876 19022579258 28533868887 38045158516 57067737774 85601606661 114135475548 171203213322 342406426644