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3402048 = 263132947
BaseRepresentation
bin1100111110100101000000
320101211201210
430332211000
51332331143
6200530120
740626336
oct14764500
96354653
103402048
111a14011
121180940
13921660
14647b56
15473033
hex33e940

3402048 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 989184.

The previous prime is 3402037. The next prime is 3402053. The reversal of 3402048 is 8402043.

It is a happy number.

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, 72361 + ... + 72407.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23402048 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 3402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3402048 is an abundant number, since it is smaller than the sum of its proper divisors (6839232).

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

3402048 is a wasteful number, since it uses less digits than its factorization.

3402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3402048 is about 1844.4641498278. The cubic root of 3402048 is about 150.3996453892.

The spelling of 3402048 in words is "three million, four hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 47 48 52 58 64 78 87 94 96 104 116 141 156 174 188 192 208 232 282 312 348 376 377 416 464 564 611 624 696 752 754 832 928 1128 1131 1222 1248 1363 1392 1504 1508 1833 1856 2256 2262 2444 2496 2726 2784 3008 3016 3666 4089 4512 4524 4888 5452 5568 6032 7332 8178 9024 9048 9776 10904 12064 14664 16356 17719 18096 19552 21808 24128 29328 32712 35438 36192 39104 43616 53157 58656 65424 70876 72384 87232 106314 117312 130848 141752 212628 261696 283504 425256 567008 850512 1134016 1701024 3402048