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3113553408 = 29371915241
BaseRepresentation
bin1011100110010101…
…0000111000000000
322000222200220022220
42321211100320000
522334032202113
61232542131040
7140104524120
oct27145207000
98028626286
103113553408
111358579839
1272a880a80
133a80920c4
14217724c80
15133524523
hexb9950e00

3113553408 has 160 divisors (see below), whose sum is σ = 9979242240. Its totient is φ = 842711040.

The previous prime is 3113553397. The next prime is 3113553437. The reversal of 3113553408 is 8043553113.

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, 196668 + ... + 211908.

It is an arithmetic number, because the mean of its divisors is an integer number (62370264).

Almost surely, 23113553408 is an apocalyptic number.

3113553408 is a gapful number since it is divisible by the number (38) 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 3113553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989621120).

3113553408 is an abundant number, since it is smaller than the sum of its proper divisors (6865688832).

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

3113553408 is a wasteful number, since it uses less digits than its factorization.

3113553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15288 (or 15272 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3113553408 is about 55799.2240806268. The cubic root of 3113553408 is about 1460.2216164494.

The spelling of 3113553408 in words is "three billion, one hundred thirteen million, five hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 15241 17024 25536 29184 30482 34048 45723 51072 60964 68096 91446 102144 106687 121928 182892 204288 213374 243856 289579 320061 365784 426748 487712 579158 640122 731568 853496 868737 975424 1158316 1280244 1463136 1706992 1737474 1950848 2027053 2316632 2560488 2926272 3413984 3474948 3901696 4054106 4633264 5120976 5852544 6081159 6827968 6949896 7803392 8108212 9266528 10241952 11705088 12162318 13655936 13899792 16216424 18533056 20483904 23410176 24324636 27311872 27799584 32432848 37066112 40967808 48649272 54623744 55599168 64865696 74132224 81935616 97298544 111198336 129731392 148264448 163871232 194597088 222396672 259462784 389194176 444793344 518925568 778388352 1037851136 1556776704 3113553408