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345213696 = 28317137193
BaseRepresentation
bin10100100100111…
…000101100000000
3220001120200011110
4110210320230000
51201333314241
654131043320
711361160632
oct2444705400
9801520143
10345213696
11167956183
1297740540
135669b779
1433bc2a52
1520490816
hex14938b00

345213696 has 144 divisors (see below), whose sum is σ = 984995424. Its totient is φ = 106954752.

The previous prime is 345213653. The next prime is 345213697. The reversal of 345213696 is 696312543.

It is a super-3 number, since 3×3452136963 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345213697) 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, 1788576 + ... + 1788768.

It is an arithmetic number, because the mean of its divisors is an integer number (6840246).

Almost surely, 2345213696 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 345213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492497712).

345213696 is an abundant number, since it is smaller than the sum of its proper divisors (639781728).

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

345213696 is a wasteful number, since it uses less digits than its factorization.

345213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 345213696 is about 18579.9272334420. The cubic root of 345213696 is about 701.5026875240.

The spelling of 345213696 in words is "three hundred forty-five million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 137 192 193 204 256 272 274 384 386 408 411 544 548 579 768 772 816 822 1088 1096 1158 1544 1632 1644 2176 2192 2316 2329 3088 3264 3281 3288 4352 4384 4632 4658 6176 6528 6562 6576 6987 8768 9264 9316 9843 12352 13056 13124 13152 13974 17536 18528 18632 19686 24704 26248 26304 26441 27948 35072 37056 37264 39372 49408 52496 52608 52882 55896 74112 74528 78744 79323 104992 105216 105764 111792 148224 149056 157488 158646 209984 211528 223584 298112 314976 317292 419968 423056 447168 449497 596224 629952 634584 839936 846112 894336 898994 1259904 1269168 1348491 1692224 1788672 1797988 2519808 2538336 2696982 3384448 3595976 5076672 5393964 6768896 7191952 10153344 10787928 14383904 20306688 21575856 28767808 43151712 57535616 86303424 115071232 172606848 345213696