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348063418038 = 23725772051801
BaseRepresentation
bin1010001000010100011…
…00100100011010110110
31020021102010201122100010
411010022030210122312
521200313213334123
6423521555001050
734101223144500
oct5041214443266
91207363648303
10348063418038
111246817a8696
1257559899186
1326a8c5c9c3b
1412bbc5a4d70
1590c201b993
hex510a3246b6

348063418038 has 48 divisors (see below), whose sum is σ = 811184024304. Its totient is φ = 99274291200.

The previous prime is 348063418037. The next prime is 348063418061. The reversal of 348063418038 is 830814360843.

It is a super-2 number, since 2×3480634180382 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348063418037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856263 + ... + 1195538.

It is an arithmetic number, because the mean of its divisors is an integer number (16899667173).

Almost surely, 2348063418038 is an apocalyptic number.

348063418038 is an abundant number, since it is smaller than the sum of its proper divisors (463120606266).

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

348063418038 is a wasteful number, since it uses less digits than its factorization.

348063418038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052397 (or 2052390 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 348063418038 in words is "three hundred forty-eight billion, sixty-three million, four hundred eighteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 577 1154 1731 3462 4039 8078 12117 24234 28273 56546 84819 169638 2051801 4103602 6155403 12310806 14362607 28725214 43087821 86175642 100538249 201076498 301614747 603229494 1183889177 2367778354 3551667531 7103335062 8287224239 16574448478 24861672717 49723345434 58010569673 116021139346 174031709019 348063418038