Search a number
-
+
3494951904 = 253319712107
BaseRepresentation
bin1101000001010000…
…1011101111100000
3100000120100221201010
43100110023233200
524124201430104
61334444540520
7152415413103
oct32024135740
910016327633
103494951904
11153389a104
12816551740
134390bc9a2
1425224673a
15156c61489
hexd050bbe0

3494951904 has 96 divisors (see below), whose sum is σ = 9568613376. Its totient is φ = 1115688960.

The previous prime is 3494951899. The next prime is 3494951923. The reversal of 3494951904 is 4091594943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34949519042 = 24429377622546450432, which contains 22 as substring.

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, 282619 + ... + 294725.

It is an arithmetic number, because the mean of its divisors is an integer number (99673056).

Almost surely, 23494951904 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 3494951904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784306688).

3494951904 is an abundant number, since it is smaller than the sum of its proper divisors (6073661472).

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

3494951904 is a wasteful number, since it uses less digits than its factorization.

3494951904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3494951904 is about 59118.1182379818. The cubic root of 3494951904 is about 1517.5641826860.

The spelling of 3494951904 in words is "three billion, four hundred ninety-four million, nine hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 186 194 248 291 372 388 496 582 744 776 992 1164 1488 1552 2328 2976 3007 3104 4656 6014 9021 9312 12028 12107 18042 24056 24214 36084 36321 48112 48428 72168 72642 96224 96856 144336 145284 193712 288672 290568 375317 387424 581136 750634 1125951 1162272 1174379 1501268 2251902 2348758 3002536 3523137 4503804 4697516 6005072 7046274 9007608 9395032 12010144 14092548 18015216 18790064 28185096 36030432 36405749 37580128 56370192 72811498 109217247 112740384 145622996 218434494 291245992 436868988 582491984 873737976 1164983968 1747475952 3494951904