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34670440 = 23574192
BaseRepresentation
bin1000010001000…
…0011101101000
32102020102220101
42010100131220
532333423230
63235035144
7600460000
oct204203550
972212811
1034670440
1118630462
12b73bab4
13724ba6c
144867000
15309caca
hex2110768

34670440 has 120 divisors (see below), whose sum is σ = 96046290. Its totient is φ = 11261376.

The previous prime is 34670437. The next prime is 34670473. The reversal of 34670440 is 4407643.

It can be written as a sum of positive squares in only one way, i.e., 31203396 + 3467044 = 5586^2 + 1862^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34670399 and 34670408.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1824751 + ... + 1824769.

Almost surely, 234670440 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 34670440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48023145).

34670440 is an abundant number, since it is smaller than the sum of its proper divisors (61375850).

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

34670440 is an equidigital number, since it uses as much as digits as its factorization.

34670440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 34670440 is about 5888.1610032335. The cubic root of 34670440 is about 326.0767129742.

The spelling of 34670440 in words is "thirty-four million, six hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 361 380 392 490 532 665 686 722 760 931 980 1064 1330 1372 1444 1715 1805 1862 1960 2401 2527 2660 2744 2888 3430 3610 3724 4655 4802 5054 5320 6517 6860 7220 7448 9310 9604 10108 12005 12635 13034 13720 14440 17689 18620 19208 20216 24010 25270 26068 32585 35378 37240 45619 48020 50540 52136 65170 70756 88445 91238 96040 101080 123823 130340 141512 176890 182476 228095 247646 260680 353780 364952 456190 495292 619115 707560 866761 912380 990584 1238230 1733522 1824760 2476460 3467044 4333805 4952920 6934088 8667610 17335220 34670440