Search a number
-
+
5400342336 = 2631910114657
BaseRepresentation
bin1010000011110001…
…01010111101000000
3111221100200211000010
411001320222331000
542024441423321
62251512024520
7250553103204
oct50170527500
914840624003
105400342336
112321397144
121068692140
13680a8cc4c
14393314b04
15219186676
hex141e2af40

5400342336 has 112 divisors (see below), whose sum is σ = 15190378560. Its totient is φ = 1688371200.

The previous prime is 5400342287. The next prime is 5400342341. The reversal of 5400342336 is 6332430045.

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, 361120 + ... + 375776.

It is an arithmetic number, because the mean of its divisors is an integer number (135628380).

Almost surely, 25400342336 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 5400342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595189280).

5400342336 is an abundant number, since it is smaller than the sum of its proper divisors (9790036224).

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

5400342336 is a wasteful number, since it uses less digits than its factorization.

5400342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14792 (or 14782 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 5400342336 is about 73487.0215480257. The cubic root of 5400342336 is about 1754.4477160901.

The spelling of 5400342336 in words is "five billion, four hundred million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 101 114 152 192 202 228 303 304 404 456 606 608 808 912 1212 1216 1616 1824 1919 2424 3232 3648 3838 4848 5757 6464 7676 9696 11514 14657 15352 19392 23028 29314 30704 43971 46056 58628 61408 87942 92112 117256 122816 175884 184224 234512 278483 351768 368448 469024 556966 703536 835449 938048 1113932 1407072 1480357 1670898 2227864 2814144 2960714 3341796 4441071 4455728 5921428 6683592 8882142 8911456 11842856 13367184 17764284 17822912 23685712 26734368 28126783 35528568 47371424 53468736 56253566 71057136 84380349 94742848 112507132 142114272 168760698 225014264 284228544 337521396 450028528 675042792 900057056 1350085584 1800114112 2700171168 5400342336