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3401380608 = 28319257907
BaseRepresentation
bin1100101010111100…
…1111001100000000
322210001022001000120
43022233033030000
523431223134413
61321303220240
7150201154353
oct31257171400
98701261016
103401380608
111495a9965a
127ab147680
134228ba362
14243a4a29a
1514d92b723
hexcabcf300

3401380608 has 144 divisors (see below), whose sum is σ = 9576712320. Its totient is φ = 1068761088.

The previous prime is 3401380597. The next prime is 3401380613. The reversal of 3401380608 is 8060831043.

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, 3749691 + ... + 3750597.

Almost surely, 23401380608 is an apocalyptic number.

3401380608 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 3401380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788356160).

3401380608 is an abundant number, since it is smaller than the sum of its proper divisors (6175331712).

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

3401380608 is a wasteful number, since it uses less digits than its factorization.

3401380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3401380608 is about 58321.3563628282. The cubic root of 3401380608 is about 1503.8980993281.

The spelling of 3401380608 in words is "three billion, four hundred one million, three hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 257 304 384 456 514 608 768 771 907 912 1028 1216 1542 1814 1824 2056 2432 2721 3084 3628 3648 4112 4864 4883 5442 6168 7256 7296 8224 9766 10884 12336 14512 14592 14649 16448 17233 19532 21768 24672 29024 29298 32896 34466 39064 43536 49344 51699 58048 58596 65792 68932 78128 87072 98688 103398 116096 117192 137864 156256 174144 197376 206796 232192 233099 234384 275728 312512 348288 413592 466198 468768 551456 625024 696576 699297 827184 932396 937536 1102912 1250048 1398594 1654368 1864792 1875072 2205824 2797188 3308736 3729584 3750144 4411648 4428881 5594376 6617472 7459168 8857762 11188752 13234944 13286643 14918336 17715524 22377504 26573286 29836672 35431048 44755008 53146572 59673344 70862096 89510016 106293144 141724192 179020032 212586288 283448384 425172576 566896768 850345152 1133793536 1700690304 3401380608