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3422441000 = 2353112411291
BaseRepresentation
bin1100101111111110…
…0100111000101000
322211111221000110002
43023333210320220
524002121103000
61323334442132
7150545161046
oct31377447050
98744830402
103422441000
1114a6973640
127b6203348
13427082324
1424676d396
151506db8d5
hexcbfe4e28

3422441000 has 128 divisors (see below), whose sum is σ = 8779605120. Its totient is φ = 1238400000.

The previous prime is 3422440997. The next prime is 3422441039. The reversal of 3422441000 is 1442243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650355 + ... + 2651645.

It is an arithmetic number, because the mean of its divisors is an integer number (68590665).

Almost surely, 23422441000 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 3422441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389802560).

3422441000 is an abundant number, since it is smaller than the sum of its proper divisors (5357164120).

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

3422441000 is a wasteful number, since it uses less digits than its factorization.

3422441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3422441000 is about 58501.6324558555. The cubic root of 3422441000 is about 1506.9956197794.

Adding to 3422441000 its reverse (1442243), we get a palindrome (3423883243).

The spelling of 3422441000 in words is "three billion, four hundred twenty-two million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 241 250 275 440 482 500 550 964 1000 1100 1205 1291 1375 1928 2200 2410 2582 2651 2750 4820 5164 5302 5500 6025 6455 9640 10328 10604 11000 12050 12910 13255 14201 21208 24100 25820 26510 28402 30125 32275 48200 51640 53020 56804 60250 64550 66275 71005 106040 113608 120500 129100 132550 142010 161375 241000 258200 265100 284020 311131 322750 331375 355025 530200 568040 622262 645500 662750 710050 1244524 1291000 1325500 1420100 1555655 1775125 2489048 2651000 2840200 3111310 3422441 3550250 6222620 6844882 7100500 7778275 12445240 13689764 14201000 15556550 17112205 27379528 31113100 34224410 38891375 62226200 68448820 77782750 85561025 136897640 155565500 171122050 311131000 342244100 427805125 684488200 855610250 1711220500 3422441000