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3400055136 = 253310613709
BaseRepresentation
bin1100101010101000…
…1011100101100000
322202221210200211000
43022222023211200
523430403231021
61321214552000
7150153664122
oct31252134540
98687720730
103400055136
111495273825
127aa808600
13422544c5a
142437c3212
1514d768b26
hexcaa8b960

3400055136 has 96 divisors (see below), whose sum is σ = 9928850400. Its totient is φ = 1131978240.

The previous prime is 3400055119. The next prime is 3400055137. The reversal of 3400055136 is 6315500043.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400055137) 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, 914850 + ... + 918558.

It is an arithmetic number, because the mean of its divisors is an integer number (103425525).

Almost surely, 23400055136 is an apocalyptic number.

3400055136 is a gapful number since it is divisible by the number (36) 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 3400055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964425200).

3400055136 is an abundant number, since it is smaller than the sum of its proper divisors (6528795264).

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

3400055136 is a wasteful number, since it uses less digits than its factorization.

3400055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3400055136 is about 58309.9917338358. The cubic root of 3400055136 is about 1503.7027243674.

Adding to 3400055136 its reverse (6315500043), we get a palindrome (9715555179).

The spelling of 3400055136 in words is "three billion, four hundred million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1061 2122 3183 3709 4244 6366 7418 8488 9549 11127 12732 14836 16976 19098 22254 25464 28647 29672 33381 33952 38196 44508 50928 57294 59344 66762 76392 89016 100143 101856 114588 118688 133524 152784 178032 200286 229176 267048 305568 356064 400572 458352 534096 801144 916704 1068192 1602288 3204576 3935249 7870498 11805747 15740996 23611494 31481992 35417241 47222988 62963984 70834482 94445976 106251723 125927968 141668964 188891952 212503446 283337928 377783904 425006892 566675856 850013784 1133351712 1700027568 3400055136