Search a number
-
+
3195405696 = 27374872441
BaseRepresentation
bin1011111001110110…
…0000010110000000
322020200201102120010
42332131200112000
523021010440241
61245024344520
7142120333410
oct27635402600
98220642503
103195405696
11139a7a565a
12752175140
133bc020602
14224550640
1513a7e1d16
hexbe760580

3195405696 has 128 divisors (see below), whose sum is σ = 9724239360. Its totient is φ = 910725120.

The previous prime is 3195405683. The next prime is 3195405727. The reversal of 3195405696 is 6965045913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307836 + ... + 1310276.

It is an arithmetic number, because the mean of its divisors is an integer number (75970620).

Almost surely, 23195405696 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 3195405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862119680).

3195405696 is an abundant number, since it is smaller than the sum of its proper divisors (6528833664).

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

3195405696 is a wasteful number, since it uses less digits than its factorization.

3195405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 3195405696 is about 56527.9196150009. The cubic root of 3195405696 is about 1472.9070299878.

The spelling of 3195405696 in words is "three billion, one hundred ninety-five million, four hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 487 672 896 974 1344 1461 1948 2441 2688 2922 3409 3896 4882 5844 6818 7323 7792 9764 10227 11688 13636 14646 15584 17087 19528 20454 23376 27272 29292 31168 34174 39056 40908 46752 51261 54544 58584 62336 68348 78112 81816 93504 102522 109088 117168 136696 156224 163632 187008 205044 218176 234336 273392 312448 327264 410088 436352 468672 546784 654528 820176 937344 1093568 1188767 1309056 1640352 2187136 2377534 3280704 3566301 4755068 6561408 7132602 8321369 9510136 14265204 16642738 19020272 24964107 28530408 33285476 38040544 49928214 57060816 66570952 76081088 99856428 114121632 133141904 152162176 199712856 228243264 266283808 399425712 456486528 532567616 798851424 1065135232 1597702848 3195405696