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3399197472 = 2532114324953
BaseRepresentation
bin1100101010011011…
…1010001100100000
322202220012010022200
43022212322030200
523430143304342
61321144333200
7150143462466
oct31246721440
98686163280
103399197472
111494838410
127aa474200
13422304768
1424363c836
1514d64994c
hexca9ba320

3399197472 has 144 divisors (see below), whose sum is σ = 10790908128. Its totient is φ = 1006064640.

The previous prime is 3399197449. The next prime is 3399197519. The reversal of 3399197472 is 2747919933.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123748 + ... + 148700.

It is an arithmetic number, because the mean of its divisors is an integer number (74936862).

Almost surely, 23399197472 is an apocalyptic number.

3399197472 is a gapful number since it is divisible by the number (32) 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 3399197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395454064).

3399197472 is an abundant number, since it is smaller than the sum of its proper divisors (7391710656).

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

3399197472 is a wasteful number, since it uses less digits than its factorization.

3399197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25023 (or 25012 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 3399197472 is about 58302.6369214978. The cubic root of 3399197472 is about 1503.5762773838.

The spelling of 3399197472 in words is "three billion, three hundred ninety-nine million, one hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 11352 12384 15136 17028 22704 24953 34056 45408 49906 68112 74859 99812 136224 149718 199624 224577 274483 299436 399248 449154 548966 598872 798496 823449 898308 1072979 1097932 1197744 1646898 1796616 2145958 2195864 2395488 2470347 3218937 3293796 3593232 4291916 4391728 4940694 6437874 6587592 7186464 8583832 8783456 9656811 9881388 11802769 12875748 13175184 17167664 19313622 19762776 23605538 25751496 26350368 34335328 35408307 38627244 39525552 47211076 51502992 70816614 77254488 79051104 94422152 103005984 106224921 141633228 154508976 188844304 212449842 283266456 309017952 377688608 424899684 566532912 849799368 1133065824 1699598736 3399197472