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3874923414 = 2334321972
BaseRepresentation
bin1110011011110110…
…1010001110010110
3101000001100111122000
43212331222032112
530413440022124
61440301020130
7165011206545
oct34675521626
911001314560
103874923414
11170932534a
12901854646
13499a3abbb
1428a8b615c
1517a2ba6c9
hexe6f6a396

3874923414 has 72 divisors (see below), whose sum is σ = 8860830120. Its totient is φ = 1255198896.

The previous prime is 3874923397. The next prime is 3874923419. The reversal of 3874923414 is 4143294783.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 3874923414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874923419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19669564 + ... + 19669760.

It is an arithmetic number, because the mean of its divisors is an integer number (123067085).

Almost surely, 23874923414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874923414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430415060).

3874923414 is an abundant number, since it is smaller than the sum of its proper divisors (4985906706).

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

3874923414 is an equidigital number, since it uses as much as digits as its factorization.

3874923414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 245 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3874923414 is about 62248.8828333489. The cubic root of 3874923414 is about 1570.6799783521.

The spelling of 3874923414 in words is "three billion, eight hundred seventy-four million, nine hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 197 258 387 394 591 774 1161 1182 1773 1849 2322 3546 3698 5319 5547 8471 10638 11094 16641 16942 25413 33282 38809 49923 50826 76239 77618 99846 116427 152478 228717 232854 349281 364253 457434 698562 728506 1047843 1092759 1668787 2095686 2185518 3278277 3337574 5006361 6556554 9834831 10012722 15019083 19669662 30038166 45057249 71757841 90114498 143515682 215273523 430547046 645820569 1291641138 1937461707 3874923414