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3454963536 = 2435910331181
BaseRepresentation
bin1100110111101110…
…1000111101010000
322220210010022222110
43031323220331100
524033432313121
61330455505320
7151421463663
oct31573507520
98823108873
103454963536
111513267272
12805088240
13430a2b52b
1424abd76da
151534b2d76
hexcdee8f50

3454963536 has 80 divisors (see below), whose sum is σ = 9093078720. Its totient is φ = 1130081280.

The previous prime is 3454963529. The next prime is 3454963537. The reversal of 3454963536 is 6353694543.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454963537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924866 + ... + 2926046.

It is an arithmetic number, because the mean of its divisors is an integer number (113663484).

Almost surely, 23454963536 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 3454963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546539360).

3454963536 is an abundant number, since it is smaller than the sum of its proper divisors (5638115184).

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

3454963536 is a wasteful number, since it uses less digits than its factorization.

3454963536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2278 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 48.

The square root of 3454963536 is about 58778.9378604275. The cubic root of 3454963536 is about 1511.7541032330.

The spelling of 3454963536 in words is "three billion, four hundred fifty-four million, nine hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1033 1181 1416 2066 2362 2832 3099 3543 4132 4724 6198 7086 8264 9448 12396 14172 16528 18896 24792 28344 49584 56688 60947 69679 121894 139358 182841 209037 243788 278716 365682 418074 487576 557432 731364 836148 975152 1114864 1219973 1462728 1672296 2439946 2925456 3344592 3659919 4879892 7319838 9759784 14639676 19519568 29279352 58558704 71978407 143956814 215935221 287913628 431870442 575827256 863740884 1151654512 1727481768 3454963536