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2307741696 = 21132139631
BaseRepresentation
bin1000100110001101…
…0101100000000000
312221211102102110200
42021203111200000
514211240213241
61020554525200
7111121323621
oct21143254000
95854372420
102307741696
11a84729547
12544a36800
132aa155b40
1417c6c5a48
15d79004b6
hex898d5800

2307741696 has 144 divisors (see below), whose sum is σ = 7178633280. Its totient is φ = 710000640.

The previous prime is 2307741637. The next prime is 2307741707. The reversal of 2307741696 is 6961477032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234801 + ... + 244431.

It is an arithmetic number, because the mean of its divisors is an integer number (49851620).

Almost surely, 22307741696 is an apocalyptic number.

2307741696 is a gapful number since it is divisible by the number (26) 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 2307741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589316640).

2307741696 is an abundant number, since it is smaller than the sum of its proper divisors (4870891584).

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

2307741696 is a wasteful number, since it uses less digits than its factorization.

2307741696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2307741696 is about 48038.9601885803. The cubic root of 2307741696 is about 1321.4854901792.

The spelling of 2307741696 in words is "two billion, three hundred seven million, seven hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9631 9984 13312 14976 18432 19262 19968 26624 28893 29952 38524 39936 57786 59904 77048 79872 86679 115572 119808 125203 154096 173358 231144 239616 250406 308192 346716 375609 462288 500812 616384 693432 751218 924576 1001624 1126827 1232768 1386864 1502436 1849152 2003248 2253654 2465536 2773728 3004872 3698304 4006496 4507308 4931072 5547456 6009744 7396608 8012992 9014616 9862144 11094912 12019488 14793216 16025984 18029232 19724288 22189824 24038976 29586432 32051968 36058464 44379648 48077952 59172864 64103936 72116928 88759296 96155904 128207872 144233856 177518592 192311808 256415744 288467712 384623616 576935424 769247232 1153870848 2307741696