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340411034376 = 23337343365581
BaseRepresentation
bin1001111010000100001…
…01000010101100001000
31012112122211102021102000
410331002011002230020
521034130211100001
6420214353511000
733410463023160
oct4750205025410
91175584367360
10340411034376
11121405177576
1255b82b72460
13261400b707a
14126941475a0
158cc52d8a86
hex4f42142b08

340411034376 has 128 divisors (see below), whose sum is σ = 1081001222400. Its totient is φ = 97230481920.

The previous prime is 340411034371. The next prime is 340411034401. The reversal of 340411034376 is 673430114043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340411034376.

It is not an unprimeable number, because it can be changed into a prime (340411034371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157906 + ... + 5223486.

It is an arithmetic number, because the mean of its divisors is an integer number (8445322050).

Almost surely, 2340411034376 is an apocalyptic number.

340411034376 is a gapful number since it is divisible by the number (36) 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 340411034376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540500611200).

340411034376 is an abundant number, since it is smaller than the sum of its proper divisors (740590188024).

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

340411034376 is a wasteful number, since it uses less digits than its factorization.

340411034376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69036 (or 69026 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 340411034376 in words is "three hundred forty billion, four hundred eleven million, thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3433 6866 10299 13732 20598 24031 27464 30897 41196 48062 61794 65581 72093 82392 92691 96124 123588 131162 144186 185382 192248 196743 216279 247176 262324 288372 370764 393486 432558 459067 524648 576744 590229 648837 741528 786972 865116 918134 1180458 1297674 1377201 1573944 1730232 1770687 1836268 2360916 2595348 2754402 3541374 3672536 4131603 4721832 5190696 5508804 7082748 8263206 11017608 12394809 14165496 16526412 24789618 33052824 49579236 99158472 225139573 450279146 675418719 900558292 1350837438 1575977011 1801116584 2026256157 2701674876 3151954022 4052512314 4727931033 5403349752 6078768471 6303908044 8105024628 9455862066 12157536942 12607816088 14183793099 16210049256 18911724132 24315073884 28367586198 37823448264 42551379297 48630147768 56735172396 85102758594 113470344792 170205517188 340411034376