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3834026952 = 233722326163
BaseRepresentation
bin1110010010000110…
…1001101111001000
3100220012101202020020
43210201221233020
530323002330302
61432240300440
7164003456100
oct34441515710
910805352206
103834026952
111698232218
128b0011720
1349141c302
142852ac200
151768dcebc
hexe4869bc8

3834026952 has 144 divisors (see below), whose sum is σ = 11657726640. Its totient is φ = 1047638592.

The previous prime is 3834026951. The next prime is 3834026993. The reversal of 3834026952 is 2596204383.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3834026951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619023 + ... + 625185.

It is an arithmetic number, because the mean of its divisors is an integer number (80956435).

Almost surely, 23834026952 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 3834026952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828863320).

3834026952 is an abundant number, since it is smaller than the sum of its proper divisors (7823699688).

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

3834026952 is a wasteful number, since it uses less digits than its factorization.

3834026952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3834026952 is about 61919.5199593795. The cubic root of 3834026952 is about 1565.1347013592.

The spelling of 3834026952 in words is "three billion, eight hundred thirty-four million, twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 529 552 588 644 966 1058 1127 1176 1288 1587 1932 2116 2254 3174 3381 3703 3864 4232 4508 6163 6348 6762 7406 9016 11109 12326 12696 13524 14812 18489 22218 24652 25921 27048 29624 36978 43141 44436 49304 51842 73956 77763 86282 88872 103684 129423 141749 147912 155526 172564 207368 258846 283498 301987 311052 345128 425247 517692 566996 603974 622104 850494 905961 992243 1035384 1133992 1207948 1700988 1811922 1984486 2415896 2976729 3260227 3401976 3623844 3968972 5953458 6520454 6945701 7247688 7937944 9780681 11906916 13040908 13891402 19561362 20837103 22821589 23813832 26081816 27782804 39122724 41674206 45643178 55565608 68464767 78245448 83348412 91286356 136929534 159751123 166696824 182572712 273859068 319502246 479253369 547718136 639004492 958506738 1278008984 1917013476 3834026952